{"id":"https://openalex.org/W2006908835","doi":"https://doi.org/10.1145/1940475.1940495","title":"A maple package for integro-differential operators and boundary problems","display_name":"A maple package for integro-differential operators and boundary problems","publication_year":2011,"publication_date":"2011-01-28","ids":{"openalex":"https://openalex.org/W2006908835","doi":"https://doi.org/10.1145/1940475.1940495","mag":"2006908835"},"language":"en","primary_location":{"id":"doi:10.1145/1940475.1940495","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1940475.1940495","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085513545","display_name":"Anja Korporal","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Anja Korporal","raw_affiliation_strings":["Johannes Kepler Universit\u00e4t Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johannes Kepler Universit\u00e4t Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024016986","display_name":"Georg Regensburger","orcid":"https://orcid.org/0000-0001-7735-3726"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Georg Regensburger","raw_affiliation_strings":["Austrian Academy of Sciences, Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I138211613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027796055","display_name":"Markus Rosenkranz","orcid":null},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Markus Rosenkranz","raw_affiliation_strings":["University of Kent, Canterbury, Kent, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Kent, Canterbury, Kent, United Kingdom","institution_ids":["https://openalex.org/I20581793"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.6372,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87866604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"44","issue":"3/4","first_page":"120","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.7663100361824036},{"id":"https://openalex.org/keywords/citation","display_name":"Citation","score":0.7139548063278198},{"id":"https://openalex.org/keywords/kepler","display_name":"Kepler","score":0.5236718058586121},{"id":"https://openalex.org/keywords/library-science","display_name":"Library science","score":0.4888386130332947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4187878966331482},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41504332423210144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3112334609031677},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.06791570782661438}],"concepts":[{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.7663100361824036},{"id":"https://openalex.org/C2778805511","wikidata":"https://www.wikidata.org/wiki/Q1713","display_name":"Citation","level":2,"score":0.7139548063278198},{"id":"https://openalex.org/C207963374","wikidata":"https://www.wikidata.org/wiki/Q47592","display_name":"Kepler","level":3,"score":0.5236718058586121},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.4888386130332947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4187878966331482},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41504332423210144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3112334609031677},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.06791570782661438},{"id":"https://openalex.org/C150846664","wikidata":"https://www.wikidata.org/wiki/Q7602306","display_name":"Stars","level":2,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/1940475.1940495","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1940475.1940495","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.403.9919","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.403.9919","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://gregensburger.com/papers/intdiffop_in_maple.pdf","raw_type":"text"},{"id":"pmh:oai:kar.kent.ac.uk:29312","is_oa":false,"landing_page_url":"https://kar.kent.ac.uk/29312/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1599970926","https://openalex.org/W1797309904","https://openalex.org/W1999837891","https://openalex.org/W2000705513","https://openalex.org/W2029782530","https://openalex.org/W2036478491","https://openalex.org/W2092216512","https://openalex.org/W2115895023"],"related_works":["https://openalex.org/W3008027610","https://openalex.org/W2619973341","https://openalex.org/W4300811723","https://openalex.org/W2210259036","https://openalex.org/W2019433297","https://openalex.org/W2970670716","https://openalex.org/W4249171332","https://openalex.org/W2522483390","https://openalex.org/W650945805","https://openalex.org/W2966474385"],"abstract_inverted_index":{"Introduction.":[0],"We":[1],"present":[2],"a":[3,34],"Maple":[4],"package":[5],"for":[6,19,24,48],"computing":[7],"in":[8],"algebras":[9],"of":[10],"integro-differential":[11],"operators.":[12],"This":[13],"provides":[14],"the":[15],"appropriate":[16],"algebraic":[17],"setting":[18],"treating":[20],"boundary":[21,35,40],"problems":[22],"[7]":[23],"linear":[25],"ordinary":[26],"differential":[27,37],"equations":[28],"symbolically.":[29],"They":[30],"allow":[31],"to":[32],"formulate":[33],"problem\u2014a":[36],"equation":[38],"and":[39],"conditions\u2014":[41],"but":[42],"they":[43],"are":[44],"also":[45],"expressive":[46],"enough":[47],"describing":[49],"its":[50],"solution":[51],"via":[52],"an":[53],"integral":[54],"operator,":[55],"which":[56],"is":[57],"called":[58],"Green\u2019s":[59]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2025-10-10T00:00:00"}